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 Mathematical Systems Quiz 1

 1 . Find y × z. Use the mathematical system given in the table. [Hint] 2 . Find x × x. Use the mathematical system given in the table. [Hint] 3 . Find x × y and y × x. What property does this illustrate? Use the mathematical system given in the table. [Hint] 4 . Find (x × z) × y. Use the mathematical system given in the table. [Hint] 5 . Find the inverse of z. Use the mathematical system given in the table. [Hint] 6 . Is the set {0, 1, 2} closed under the operation of ordinary multiplication? [Hint] 7 . Is the mathematical system in the table a group? [Hint] 8 . Determine if the statement is true or false. If the statement is true, mark true. If the statement is false, change the first number on the right to make the statement true. 10 = 2(mod3) [Hint] 9 . Determine if the statement is true or false. If the statement is true, mark true. If the statement is false, change the first number on the right to make the statement true. 38 = 6(mod 8) [Hint] 10 . Find the sum. (5 + 4)(mod 8) [Hint] 11 . Find the sum. (9 + 9)(mod 15) [Hint] 12 . Name the kind of rotational symmetry illustrated by this portion of the Cingular Wireless symbol. [Hint] Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.

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